Electron Waiting Times in a Strongly Interacting Quantum Dot: Interaction Effects and Higher-Order Tunneling Processes
arXiv:2004.12603 · doi:10.1103/PhysRevLett.127.096803
Abstract
Distributions of electron waiting times have been measured in several recent experiments and have been shown to provide complementary information compared to what can be learned from the electric current fluctuations. Existing theories, however, are restricted to either weakly coupled nanostructures or phase-coherent transport in mesoscopic conductors. Here, we consider an interacting quantum dot and develop a real-time diagrammatic theory of waiting time distributions that can treat the interesting regime, in which both interaction effects and higher-order tunneling processes are important. Specifically, we find that our quantum-mechanical theory captures higher-order tunneling processes at low temperatures, which are not included in a classical description, and which dramatically affect the waiting times by allowing fast tunneling processes inside the Coulomb blockade region. Our work paves the way for systematic investigations of temporal fluctuations in interacting quantum systems, for example close to a Kondo resonance or in a Luttinger liquid.
6 pages, 3 figures + supplemental material (8 pages, 3 figures)
References in corpus (31)
- Counting Statistics of Non-Markovian Quantum Stochastic Processes
- Tunneling through molecules and quantum dots: master-equation approaches
- Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects
- Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
- Electron Waiting Times in Mesoscopic Conductors
- Electron Waiting Times in Non-Markovian Quantum Transport
- Non-Markovian effects in the Quantum noise of interacting nanostructures
- Distributions of electron waiting times in quantum-coherent conductors
- Electronic waiting-time distribution of a quantum-dot spin valve
- Full Counting Statistics of Interacting Electrons
- Full counting statistics and shot noise of cotunneling in quantum dots and single-molecule transistors
- Electron waiting times in coherent conductors are correlated
- Full counting statistics for the Kondo dot
- Waiting time distributions of electron transfers through quantum dot Aharonov-Bohm interferometers
- Full counting statistics of Luttinger liquid conductor
- First-passage times in renewal and nonrenewal systems
- Hierarchical quantum master equation approach to current fluctuations in nonequilibrium charge transport through nanosystems
- Waiting time distribution for electron transport in a molecular junction with electron-vibration interaction
- Revealing strong correlations in higher order transport statistics: a noncrossing approximation approach
- Lead Geometry and Transport Statistics in Molecular Junctions
- Nonrenewal statistics in transport through quantum dots
- Waiting time distribution revealing the internal spin dynamics in a double quantum dot
- Detecting single-electron tunneling involving virtual processes in real time
- Electron waiting times of a periodically driven single-electron turnstile
- Full counting statistics of chiral Luttinger liquids with impurities
- Non-renewal statistics in quantum transport through the eyes of first-passage and waiting time distributions
- Tunneling statistics for analysis of spin-readout fidelity
- Full counting statistics of spin transfer through the Kondo dot
- Controlled emission time statistics of a dynamic single-electron transistor
- Current cross-correlations and waiting time distributions in Andreev transport through Cooper pair splitters based on triple quantum dots
- Iterative path-integral summations for the tunneling magnetoresistance in interacting quantum-dot spin valves
Cited by in corpus (8)
- Current fluctuations in open quantum systems: Bridging the gap between quantum continuous measurements and full counting statistics
- Higher-Order Photon Statistics as a New Tool to Reveal Hidden Excited States in a Plasmonic Cavity
- Photon-Emission Statistics induced by Electron Tunnelling in Plasmonic Nanojunctions
- Waiting-times statistics in boundary driven free fermion chains
- Waiting time distributions in Quantum spin hall based heterostructures
- Transport in Single Quantum Dots: A Review from Linear Response to Nonlinear Regimes
- Coherent time-dependent oscillations and temporal correlations in triangular triple quantum dots
- Synchronized coherent charge oscillations in coupled double quantum dots